Atkin-Lehner |
2- 3+ 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
9840s |
Isogeny class |
Conductor |
9840 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
34007040000 = 214 · 34 · 54 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 0 -4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-840,3312] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:90:1] |
Generators of the group modulo torsion |
j |
16022066761/8302500 |
j-invariant |
L |
4.1791273922718 |
L(r)(E,1)/r! |
Ω |
1.0246814135165 |
Real period |
R |
0.50980813855228 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1230d1 39360ci1 29520bo1 49200cy1 |
Quadratic twists by: -4 8 -3 5 |